379251072 has 192 divisors, whose sum is σ = 1152824400. Its totient is φ = 124084224.

The previous prime is 379251053. The next prime is 379251097. The reversal of 379251072 is 270152973.

379251072 is a `hidden beast` number, since 3 + 79 + 2 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×379251072² = 287662751226298368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2768188 + ... + 2768324.

Almost surely, 2^379251072 is an apocalyptic number.

379251072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576412200).

379251072 is an abundant number, since it is smaller than the sum of its proper divisors (773573328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379251072 is an equidigital number, since it uses as much as digits as its factorization.

379251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 379251072 is about 19474.3696175255. The cubic root of 379251072 is about 723.8394890554.

The spelling of 379251072 in words is "three hundred seventy-nine million, two hundred fifty-one thousand, seventy-two".